For causal LTI systems with transfer func- tions listed below, find the zeros and poles and...

 

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For causal LTI systems with transfer func- tions listed below, find the zeros and poles and state whether or not each system is stable with a brief jus- tification for why. If the system is stable, find the impulse response for the system. a.) b.) Ĥa(z) = Ĥ₁(2): = 222 +5.52 +3.75 z2+0.35z 1.125 - 222 +2.52 +3.75 22 +0.35z 1.125 - c.) d.) Ĥc(z) = 2.5z² +0.5z 2² +0.2z - 0.08 Ĥa(z) = 2 + 5z−² − 12z-4 Ĥ₂(z) = 1.5z² + 2z z2 +0.4z +0.13 For causal LTI systems with transfer func- tions listed below, find the zeros and poles and state whether or not each system is stable with a brief jus- tification for why. If the system is stable, find the impulse response for the system. a.) b.) Ĥa(z) = Ĥ₁(2): = 222 +5.52 +3.75 z2+0.35z 1.125 - 222 +2.52 +3.75 22 +0.35z 1.125 - c.) d.) Ĥc(z) = 2.5z² +0.5z 2² +0.2z - 0.08 Ĥa(z) = 2 + 5z−² − 12z-4 Ĥ₂(z) = 1.5z² + 2z z2 +0.4z +0.13